Graphical Descriptive Statistics
Michael Luu, MPH
Biostatistics & Bioinformatics Research Center
Cedars Sinai Medical Center
August 13, 2022
Why do we need to visualize our data?
Data
| x | y |
|---|---|
| 55.3846 | 97.1795 |
| 51.5385 | 96.0256 |
| 46.1538 | 94.4872 |
| 42.8205 | 91.4103 |
| 40.7692 | 88.3333 |
| 38.7179 | 84.8718 |
| 35.6410 | 79.8718 |
| 33.0769 | 77.5641 |
| 28.9744 | 74.4872 |
| 26.1538 | 71.4103 |
| x | y |
|---|---|
| 58.21361 | 91.88189 |
| 58.19605 | 92.21499 |
| 58.71823 | 90.31053 |
| 57.27837 | 89.90761 |
| 58.08202 | 92.00815 |
| 57.48945 | 88.08529 |
| 28.08874 | 63.51079 |
| 28.08547 | 63.59020 |
| 28.08727 | 63.12328 |
| 27.57803 | 62.82104 |
| x | y |
|---|---|
| 38.33776 | 92.47272 |
| 35.75187 | 94.11677 |
| 32.76722 | 88.51829 |
| 33.72961 | 88.62227 |
| 37.23825 | 83.72493 |
| 36.02720 | 82.04078 |
| 39.23928 | 79.26372 |
| 39.78452 | 82.26057 |
| 35.16603 | 84.15649 |
| 40.62212 | 78.54210 |
| x | y |
|---|---|
| 55.99303 | 79.27726 |
| 50.03225 | 79.01307 |
| 51.28846 | 82.43594 |
| 51.17054 | 79.16529 |
| 44.37791 | 78.16463 |
| 45.01027 | 77.88086 |
| 48.55982 | 78.78837 |
| 42.14227 | 76.88063 |
| 41.02697 | 76.40959 |
| 34.57531 | 72.72484 |
Let’s begin by taking descriptive measures
| dataset | n | mean_x | sd_x | mean_y | sd_y |
|---|---|---|---|---|---|
| A | 142 | 54.26 | 16.76 | 47.84 | 26.94 |
| B | 142 | 54.26 | 16.76 | 47.84 | 26.94 |
| C | 142 | 54.26 | 16.76 | 47.84 | 26.94 |
| D | 142 | 54.26 | 16.76 | 47.84 | 26.94 |
It appears the counts (n), mean (x), mean (y), and sd (x) and sd (y) are identical for ALL four datasets!
Can we conclude the datasets are similiar or identical?
Not quite yet!
Let’s visualize the relationship of x and y
